{ "cells": [ { "cell_type": "markdown", "id": "4ad53464-e450-4e5f-8113-54ca0209ad8b", "metadata": {}, "source": [ "# Tutorial on the Simulation of the DNA Environment" ] }, { "cell_type": "markdown", "id": "ffe935d2", "metadata": {}, "source": [ "Discover how to model DNA excited-state relaxation and environmental interactions using dephasing and thermalization models from Quantum Biology.\n", "This notebook explores various methods for incorporating DNA environment effects and exciton relaxation in the `qDNA` package. Key topics include:\n", "\n", "* **Local & Global Dephasing**: Analyzing the impact of environmental noise on quantum states.\n", "* **Local & Global Thermalizing**: Modeling the system's approach to thermal equilibrium.\n", "* **Trace Distance to Equilibrium**: Measuring how close the system is to its equilibrium state.\n", " \n", "Through these examples, the notebook demonstrates techniques for simulating and analyzing DNA-related quantum phenomena in the presence of an environment.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.png)](https://colab.research.google.com/github/dehe1011/QuantumDNA-notebooks/blob/main/tutorials/3_Environment_Simulation.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "id": "ba2b8865-5ab9-4014-9439-bb0a79b2f2af", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "# Save flag: Set to True to enable saving results (currently unused in this script)\n", "save = False\n", "\n", "# Verbose flag: Set to True to enable detailed logging\n", "verbose = False" ] }, { "cell_type": "markdown", "id": "1b7b288f-3ef9-4892-a17b-b1a324a3494f", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "ec057f27-7cdd-4c52-a5fe-3a93f6b70f47", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Package 'qDNA' is already installed.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# --------------------------\n", "# Installation of QuantumDNA\n", "# --------------------------\n", "\n", "from importlib.util import find_spec\n", "\n", "qDNA_installed = find_spec('qDNA') is not None\n", "\n", "if not qDNA_installed:\n", " %pip install qDNA\n", " print(\"Successfully installed the 'qDNA' package.\")\n", "else:\n", " print(\"Package 'qDNA' is already installed.\")\n", "\n", "if verbose:\n", " %pip show qDNA \n", "\n", "from qDNA import *\n", "\n", "# ------------------------\n", "# Directory Setup\n", "# ------------------------\n", "\n", "import os\n", "\n", "# Use the current working directory as the root\n", "ROOT_DIR = os.getcwd()\n", "\n", "# Define directory to save figures\n", "SAVE_DIR = os.path.join(DATA_DIR, \"my_figures\")\n", "os.makedirs(SAVE_DIR, exist_ok=True)\n", "\n", "if verbose:\n", " print(f\"Save directory: '{SAVE_DIR}' is ready.\")" ] }, { "cell_type": "markdown", "id": "aa81f167-ad3d-4986-b928-33e832b8df1d", "metadata": {}, "source": [ "## Function Definitions" ] }, { "cell_type": "code", "execution_count": 3, "id": "9c45d939-b6f1-4219-bd7e-7263386f1b01", "metadata": {}, "outputs": [], "source": [ "def pre(vis):\n", " if vis.loc_deph_rate:\n", " lindblad_type = \"local dephasing\"\n", " elif vis.glob_deph_rate:\n", " lindblad_type = \"global dephasing\"\n", " elif vis.loc_therm:\n", " lindblad_type = \"local thermalizing\"\n", " elif vis.glob_therm:\n", " lindblad_type = \"global thermalizing\"\n", " \n", " if lindblad_type in [\"local dephasing\", \"global dephasing\"]:\n", " eq_state = get_deph_eq_state(vis)\n", " if lindblad_type in [\"local thermalizing\", \"global thermalizing\"]:\n", " eq_state = get_therm_eq_state(vis)\n", " \n", " print(f\"Number of local dephasing operators: {vis.num_c_ops}\")\n", " print(\"--------------------------------\")\n", " \n", " return eq_state\n", "\n", "def my_plot_pop(vis, tb_site):\n", " eq_state = pre(vis)\n", "\n", " fig, ax = vis.plot_pop(tb_site, add_legend=False)\n", " for particle in vis.particles:\n", " pop_particle_op = get_pop_observable(vis.tb_basis, vis.description, particle, tb_site)\n", " pop_particle = np.trace(eq_state @ pop_particle_op)\n", " ax.axhline(y=pop_particle, color='k', linestyle='--', alpha=0.5)\n", " print(f\"Equilibium Population {particle.capitalize()}: {round(pop_particle, 3)}\")\n", "\n", " return fig, ax\n", "\n", "def my_plot_coh(vis):\n", " eq_state = pre(vis)\n", " \n", " fig, ax = vis.plot_coh()\n", " for particle in vis.particles:\n", " reduced_dm = get_reduced_dm(eq_state, particle, vis.tb_basis)\n", " coh_particle = np.sum(np.abs(reduced_dm)).real - np.sum(np.diag(reduced_dm)).real\n", " ax.axhline(y=coh_particle, color='k', linestyle='--', alpha=0.5)\n", " print(f\"Equilibium Coherence {particle.capitalize()}: {round(coh_particle, 3)}\")\n", "\n", " return fig, ax" ] }, { "cell_type": "markdown", "id": "e808d6bf-23ba-44f0-8d12-f6b923ebb45f", "metadata": {}, "source": [ "## Local Dephasing" ] }, { "cell_type": "code", "execution_count": 4, "id": "311306c3-d196-4f88-a4f9-282daefda40b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 6\n", "--------------------------------\n", "Equilibium Population Electron: 0.5\n", "Equilibium Population Hole: 0.5\n", "Equilibium Population Exciton: 0.25\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC', tb_model_name='WM')\n", "tb_site = '(0, 0)'\n", "vis = Visualization(tb_sites, description='2P', loc_deph_rate=5, tb_model_name='WM')\n", "\n", "fig, ax = my_plot_pop(vis, tb_site)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 5, "id": "bdc3407e-6e26-4c42-a686-2224738be3b1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 12\n", "--------------------------------\n", "Equilibium Coherence Electron: 0.0\n", "Equilibium Coherence Hole: 0.0\n", "Equilibium Coherence Exciton: 0.0\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC')\n", "vis = Visualization(tb_sites, description='2P', loc_deph_rate=5, tb_model_name='ELM')\n", "\n", "fig, ax = my_plot_coh(vis)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 6, "id": "d6fa6a5b-0967-403b-8d47-2b597df950ae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Equilibium Population Electron at site (0, 0): 0.25\n", "Equilibium Population Electron at site (0, 1): 0.25\n", "Equilibium Population Electron at site (1, 0): 0.25\n", "Equilibium Population Electron at site (1, 1): 0.25\n" ] }, { "data": { "image/png": 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SSUHBQ6HFJB0dHRgYGEh92Rw8eBD79+9He3s7uru7r1v3rlzYNIYtMgcP6pmHpAu+CLZVWQo6L0JWSmtrK5599ln4fD4MDQ3ldHdEvR1IKejq6kJ7e7vm4y0tLZKWAmo4joPP59OVeXC5XKnjZTsuAPT396sGNiupoGGLQopJPB4PvF6v4osm2fP7ejXfyJXWsIW8bXW6cJZeEMNX8+uuRkipeOihhwAkGkbpGb5IoiJLUgqS17JkFqDU9PT0pDITpaLgmod8i0my3Z2UUnomnbzPQ1KmzMPITDjjMQORHHpcE1KCOI5L/T/b19enOygYGxtbztMiRLe+vj7VhbFyMTw8XPSZgsmAptSuiUVpEpVvMcmhQ4dUo6nkamOlSKs2QSt4ePlqEN95OXNjj2yZCUJWg3vuuQcPPfQQfD4fent7s2YgfD4f3njjjVTBJSErieM4dHR05FzwmO7o0aNFvcjzPF+Sy3EDRSiYzLWYJL1O4uDBg+jv70dXVxdcLldqfYtvfOMbJTWfVQ/5mhdJX/3ttaz7avWBIGS1aW1tRWNjIx5//HH09vZi165dqW3J+gafz4fTp09jaGgIH/3oR2Gz2fDP//zPK3zmhCS6Ix85ciTvDEKxb3oPHz6Mvr6+krweMmK+rb1KXHK2hdZsjEL8zr+dVWy7c5MDf9veJNkWiQl46Dvnsx7vXTsq8Nl764p2foSUgvHxcZw4cQKjo6NYWFgAkGgqVVlZmQoqkkKhEBVPriBBEHDmzBkAwM6dO8GyKz6Ln+Tpev0taUnuIlFbp+LUpL5x36hGHwhCVrOGhgbdC15R4EDI6kLhZZGora55anJB175U80AIIWQ1oeChSKIqmYdAWF9GgWoeCCGErCYUPBSJWgAQFSh4IIQQsvZQ8FAkasMWatv07ksIIYSUKgoeiiSmMmyhNyjI1r6aEEIIKSUUPORhZ42yMlwtUNA7HEHDFoQQQlYTCh7y0LmvRrFNrWBSbZsaGrYghBCymlDwkIdb6u04cEulZFshNQ+UeSCEELKaUPCQp3u3lkl+Lix4oJoHQggpBcn21KWgu7u7ZFeYpg6TeZIvwa02RKE3o0BNogghZOX19vYCgOa6FoODgxgYGCjKGhYejwfd3d2SFablx3W73Whvby/J9S0oeMiTfBVNQUy0qDakBRVaNQ+fvacO/+vZpQWzonERoihqrthJCCFkeXk8HvT19SkWdfR4PHC73XC5XOjv75dc7PPF8zxaW1sxOjqaCgp6e3vR3t6ueH23212SK2vSsEWe5JkHQBksqA1bvHVrGW6ut0m2CSKgJ/kQiQv4x99M4IPfPY/PP3EFs6F4bidNCCFEVVdXF7q7uxXbOY5DT08P3G53UQIHIDEc0dbWJskmdHZ2YnBwEIODg5LntrS0gOd5xfaVRpmHPMkzD0AiWLCmvaPyYYtP3rkBH9jlwlQgpth3bDaCLZWWjK/524sBPHFuDgBwYiyIR0/78ActypkfhBBSDIIoYm6V3KSUWw1g88ze8jwPj8eDtra2Ip+VumPHjuHQoUOK7RzHYWBgQHEeXV1dcLvd1+389KDgIU8mgzJpI880yH/eWGEGwzCqgcef/+wyjn6kWTLsIfd/XpiU/PzdV7wYPD+PP9lbg/u2OXM5fUIIyWouFMeB75dmwZ7csY9wcNnyu6T19vZetwszz/PgeV61hoHjONUMQ1tbGzo6OjT3Wwk0bJEn1cyDfNhC9rN5cR+zyr5zYQGns6zC6V1Q3gFM+KP4x99MYCFKMzYIISQfR48eRXt7+3V5rWyzJ9Qed7lc4DgOJ06cWK7TyhkFD3lSq3mIZck8JAMOi1H9bR/xhjO+pkrMAQBYiIl4bULf8t+EEEKkPB5P0eoZlktLS0vJTCEFKHjIm9r1PyLLNMj7NyQDDq0g4DIfyfiamYY04iJN9ySEkHyU0nCAlqqqKszMzKz0aaRQzUOeGIaBiWUkQxPpmQZBFCFf7yqZedCakpkt82BkGc3eEXGdrbAJIUSvcqsBxz5S2nfkSeVWQ1778TwPIHFxvh6yBSmZziN5rqWAgocCmAzawYN8CANQr3VIN5rnsAUABCJU80AIKS6WYfIuQlwtkhdzr9d7XbIPHMfB5XJhZGRE8Vi2GR+llB2hYYsCyIsmJYGESiZArcgy3UJMhJBh+CFTeOCn4IEQQvJ2Pe/qDxw4oFoY6fF40NHRobqP1+tFc3Pzcp+abhQ8FEBeNJmebVAbXlArspTTWg9DEEUEMwQIgcjqmItNCCGlpqWlRdcaEl6vF16vV/Uxj8eDyspKHDlyJOtxuru7MTg4KHnN5HRRrczD8PBwSRV1ru181DKTZxLSAwa1IMCcVmX5wd0u/OgUr3hOJC7CovJXCUQEZKpqoMwDIYTkp62tDQMDA9i/f7/iMZ7nU50nk7Mdurq6ACDVtjrdwMAADh48mPH1OI7D8ePH4Xa70dzcjJmZGfA8r2hNne56NrHSg4KHAshrGLIFD+mZhz/ZswEGhkH/6z7Jc7QyD/5w5swC1TwQQkh+urq6NPs8uFwu9PT0AEDq32o4joPP59OVeQAS2Y5Mx0vX39+vGtisJBq2KIAyeBDS/lsZBKRP7zQZGHz0jmrFc9T2iwsiHn9zNuO5+GnYghBC8pIsYiylPgrpenp6UtmOUkHBQwHkzZ7CsaUL/+vXpE2bTAZGMUVTbfaFWvDwv387qchQyFHmgRBC8tfX16e6MFYuhoeHNZfzLuSYAEpqyAKg4KEgWsMW4ZiArz43mfG5QKLpk7yGUj5sERdE/Pxs5qwDQDUPhBBSCI7j0NHRoXvYQc3Ro0eLepHneb4kl+MGKHgoiNawxasqraLD8o5RWY6RpHfNCpptQQghhens7ASAvIcv3G53MU8Hhw8fRl9fX0n1d0iigskCWIzqmYdr/qjiuRqxA0wGBqGYdqFlUCN42FZpxqhvqZ01DVsQQkjhss2UuJ6KHYwUE2UeCiBfljtZ8zDlj+k+hiLzIOgLHm6qtUl+9kcE/PLcLERa44IQQsgyo+ChABaNIYer88rMgxYTK/0TyDMPWsMWLY12xbZ/+M01HB+Z1/3ahBBCSD4oeCiAVsHk+Lxydcw9TcqLPQCY5UMfMWnwENAIHnbVWmEzKosw+15T735GCCGEFAsFDwWQX/iTwxbjc8rMw+/eXKl+jAzrYwDqmYe6MiOq7UbUlpkUj6XXQRBCCCHLgYKHAlgMyiGHSEzAvKx48X++exNamxyqx5CvdyGfbaG2nsWn76oFwzCodyqDB0IIIWS5UfBQAHnWIBwXVJs81Tu1J7VkanENKAsmb6m34a7NZQAAp5n+fIQQQq4/uvoUQK1eQW0pbmOG1TQVy3pnCR7K0gKGUEz5Wk4L/UkJIYQsL7rSFEAta6C6IJZKd0mtx+SZB3nNg9209Cd7e7NTcTythbUIIYSQYqHgoQBmeZ+HuIiYSuZBXteQ6RjZMg/pwcO+jco6ilBMRFzlHOSu+aM4Ox3CmakQpgL6p5YSQshaduTIkZJZIKu7uxsej2elT0MVBQ8FkHeY9HjD8HjDiucZM2Qecq15SA8ezEYWvR/cojhmtpbWj73B46PHRvHwY5fwp49fwh/2XcCPT2deeIsQQta63t5eANBc3GpwcLDgxbNyOabb7UZXVxd4ni/qaxZDUdpTezwedHd3g+O41LZc2mp6PB709PSgunppiepSahGqRW2xq//78ozkZyMLsEwBNQ+y2RZ2WZHkBofyTxiMCiizGFRfzx+Oo+fFKelrCiK+/vwUauxG3LtVORRCCCFrncfjQV9fHwYGBhTb3W43XC4X+vv7Jde5Ql5L7zHdbndJLo5VcPDA8zxaW1sxOjqaWryjt7cX7e3tij+CmsHBQXR1dWFoaAgulyt1vJaWlpJbglROPuQAKPssZCqWTBwjt5oHm0n6mlaj8hy0GksBwJOj85p1Eb/yzFPwQAhZl7q6ulQzABzHoaenB0D+C2YVcsyWlhbwPI/BwcGSuiYWHDx0d3ejra1NsupXZ2cnurq6sv6yPM+jo6MDx48fT+3v8Xjg9XpRVVVV6KktO7XMg1ymYkm1Y0RlfR7kgYBdFjwYWAY2I4OFtJkXar0hkn4z6td8bCagf00OQsj6EggE8t7XbDbDZFLvSxMMBvNek8dkMsFsNud9Xkk8z8Pj8ZTUxTldV1cX3G53SZ1fwcHDsWPHcOjQIcV2juMwMDCQ8Zc9fPgwqqqqJONLLS0t8PlWx/i7vOZBTaZiSSD7bAvFsIVJmWmwm1ksxJaW5NZaTAsAxua0O1B6Fyh4IISo+8pXvpL3vu9+97uxb98+1cceeeQRBIPBvI77wAMP4IEHHsj7vJJ6e3tL6sIs19bWho6ODvA8XzLLcxdUMMnzvOYvw3EcBgcHM+7f39+fChwGBwfR399fkoUhWtSGLeRyzjzIZkrwobjk5wqrspbBbpJu08o8iKII30Jc9TEA8C7EaVVOQsi6c/ToUbS3t6/0aWhyuVzgOA4nTpxY6VNJKSh4yDaFRM/jVVVVOHLkCDiOS0VXyYpXPXbv3q36z8jIiO5j5EvPsEW2mgf5st7pmYdoXFRkEdSDB+kxtDIP82FBtYlV+usFMgx5EELIWuTxeIpSCLmcWlpaSmYKKVCk2Rb5SAYWx44dkwxT9PT0oLm5GXv27NGcLlMqdA1bZMs8KNa2WLq4z4WVWYIKq/JPJp+BoVUwqWdYwrsQ15ypQQgha1EpDQdoqaqqwszMTPYnXicrFjwkyceZOI6Dy+XC4cOHdU1NOXXqlOr23bt3F+X8MtFVMJkt8yALQObShil42RADA2l76iSHLPMQiKgPTXiD2YOHrzw9ga++b3PW5xFC1pfPfe5zee+bqajx4YcfLqhgslDJofLVUKRfSsP6BQUP2SK1TH+MZIpI7TlVVVUllZ7RYjOxqLQZMtYRZMs8WGWPX+QjuMRHsNllVmQeyq0GGFSCEfl6FvMqGQsAeHlcWpS0tdKMSEzE1fmlDpNnpkN4dSKIW+vtGc+bELK+OBzqKwMXym5f2e+a5HXM6/WWfPahlM6voJqHZJZArb5Az7QXjuPg9Xo1Hyt1LMPg4601GZ+TLfNwS70N8mc89kZiGIcPSTMF5RrDCfLtcyHlsMXYXARHX5XOYqm0GcGqfAKev5T/lCxCCFmNSumuXo3X60Vzc/NKn0ZKwe2pDxw4oFoY6fF40NHRkXHf/fv3q2YYPB5PSVe+pnvnjoqMtQ+ZWlMDQI3DhPbt5ZJt52cSLa7ndMy0AACnbLtarcTx83OKbZU2A27aYFNsHx6j4IEQsn60tLToWkPC6/Vq3vB6PB5UVlbiyJEjOb12pmOmGx4eLqmb6oKDh+7ubgwODkre+OSc2fTMg9obm+wPkT6ls7e3FxzHrYr21EkujYs6kD3zAAD3bCmT/HxlNoJwTMDXnpe2kdZ6nQp55kEleLjIK/s7bLAb8U5Z4AIAHl8EsyHtoRhCCFlL2traNDsi8zyPrq4udHV1YXh4GMPDw6mf1bIVejor53pMQF82/3oquGCS4zgcP34cbrcbzc3NmJmZAc/zmm9g+piNy+XC0NAQuru7U8/nef66TLMspkz9HrLVPADApgppMdFcWMAvzykzBeUawYN8uzxjASQCErm7t5RhV60Nj7xvMx5+7JLksatzEVRYlVkJQghZa7q6ujSz3S6XK9VKOvlvNRzHwefz6co86D1mUn9/P/bv35/1eddTUWZbtLS0ZH0Dkm+sXPqbuFplmnWRrc8DANQ7TTAwQHpzyVPXFhTP0xq2UNQ8yDIPcUHElTnpstu/u7sSu2oTwcGOGitq7EZMp83G0Cq6JISQtSZZvzc8PFySLQJ6enqKvppnoWhJ7iLIFDzobSTVUC6dcqQ2rfK2evVMgFMWPIRiIiJpa2RM+qOKxbAO3Fop+blcNmNjLqyvWZQgivjtRT++f3IGVzO0viaEkFLW19dX8AV6OYKPZF1gKQ1ZABQ8FEWhmQcAaCqXD11I7/zNBgZ3NKpPaZJf+AHgtYmlzMXlWWnWwWlmFfUT8gBEb+bhp2/O4q+PX8W3hmbwX39yWbXeghBCSh3Hcejo6Mi54DHd0aNHi3qR53m+JJfjBih4KIpMdQ16ah4AZYtp+QJZH761Cgyjfiz5hR8ADj0xhvhiK2r5lM/aMpPiWHpmbKQLROL4xdlZfPW5ydS22VAcvxpR1moQQshq0NnZCSD/pbfdbncxTyfVLLGU+jskrXiHybUgU+ZBb/AgP4Y8eLBlmA6q1jgKAC74ImiutiiGINT6RSh7RWgHD9G4iE8/eknSXCrpp2/O4gO7KlX2IoSQ0ldKM/2KHYwUE2UeisBi1H4b9Q5byIMM+QJWNpWluNM1lSvbtCbbVM+H5J0qlceSd6nMVPMwfDWgGjgAieEOWpmTEELWNgoeimA5Mg/yAsdswcPejcrWsckFsuRDEGrDHPLMQ6aah8sqPSOSvAtxjGsEFoQQQtYGCh6KIGPNg87Mg0XWKyKWY+bhYy3Vim3+cP7BQ6aaB62sQ9If9l+gJlOEELKGUfBQBMXIPMhX15QHD9YMQyMA4DAbcItsKmcgujhsIV9gSyV4yGW2xdhs9szC15+fzPocQkhpYBgmVUQdi2VffZeUrmh06ftZq8i+GKhgsggydZjUW/MgD0AEWcmBzZT9OPLlugORZOZBejB5fQOgDCgyZQ6uzkuHLd6y2YHfyhbTeulKAKIoLuuHlxBSHAzDwGw2IxwOY2xsDE1NTTAa6fKwmsTjcYTDYUxOJm7cHA4HBQ+lbjlqHuTlirYsmQcAcJi0gofsmQd5i+tQTMSoN4xtVRbJ9khcwKRfemfy/l2ViuDBHxHAh+KotNFHjJDVoLGxEZcuXUIoFFp1SwQQKYPBgJqazCs+F4qGLYrAnGEapd6ah2ydKLPVPACJoYt0qdkW8uBBpc11U7lJ0f76h6eU7cRfn1iAfC7FjhoLPv9Ag+K5l1XW0yCElCar1YrNmzfDYrFQxnCVMhqNqKysRHNzM+x29aaCRXutZT36OpEx86A7eMgcHOgLHpSZh0hMQDgmvdyrFUwaWAbvvbEC331laWnYl64ol+Z+cnRe8vMN1RY4zAY8wDnxvZMzuOBbChgu8xHcWr+8H2BCSPFYrVZwHAdRFGnK9SqTXrdyPVDwUAQZ17bIkJXQewwge8EkoBI8RAXVWRNqwxYA8ABXLgkevAtx+BZiqaGH+XAcT4/6Jfu8jXOm/ntThVkSPFzRUVhJCCk91/tCRFYfGrYogkxZA7XmTerHyJy90FM7oZZ5ODkhXZ3TyCoLK5Oayk2wyF5n1BtO/ffjb/AIRpeqMRgA92+TBg/paNiCEELWJgoeikDrwl9hNSguqLkeAwCsOmZaAECZrObBH4nj+HnpWhO3N9g121kbWAZbK6Xn60kLHp6/LB3GuG9bGWrLloKjTS7pvldyCB6euTCPP/vJJXzpV1cx6aeMBSGElDIatigCrazALfU23am/TNkLPTMtAMAuzzyE4zgpmxnxjhvKMx6Dq7LgzPRSwOBJG4aQX9TTsw6AMvMw4Y8iEhcy/m4LUQGPv8njmy9Np7ZFYiL+7neaMp4nIYSQlUPBQxHIU/1JN22w6j5GptoIPcWSgPpUzahszuftDZkLGDfKAoCZYCL4iAsieFnvhwan9LnyfQURuDoXxdZK6XTPpDenFvCZxy8rtr90JQB+IQYXTfMkhJCSRMMWRaB1Z73Boa/eAcjcD0Jey6ClTFYIGZEFDiwDuFSmaaaTz8TwLxZc8qE4ZE0vUW2XPtduYhXbMtU9fOvEjOp2EcC/vDCV8TwJIYSsHAoeikArayC/kGailb0A9AcP8syDXJXdqFnvkCQvpvQvRiDJDESSkVXvFyEfunjuknK6J5AYrnjtWlDzPH7tmcfPz8xmPFdCCCErg4KHItDKGlTZ9afdMxVMygshtWQLMmp0nI98Gmcy8yAPHqpsRrAq9Rw3VEuHao6fn8PYnDL78NrEAmLaq34DAB55bhJTASqeJISQUkPBQxFoXfirchizz1RUqDfzYDYwyFRbWePIfj7yoQ9/RIAgiorgoVojEHnPjRVIfztEAMNjygzDK+PKbfIOl1FBxDMX/IrnEUIIWVkUPBSBWvBgN7G6Cx2BzDUPejMPDMMoWlSn05N5kA9biEgUXuoNHprKzWhtcki2XVOZevmarP/Ef769Csc+wuE22cqg52fCIIQQUlooeCgCi0rWwGXTX+8AZBu20P9nypSl0BM8qLWu9ofjmAroCx4AYLOs34M8eAjHBJyfCUm23VyXmNb6li1lku0jXgoeCCGk1FDwUARqWYNssxrkDKz2kIPeYQsgc9GknhoMq1F5HvMRARd80ot4nVN7Jkl9mfSxiXlp4PGbC37E02ZusAxwY20i49BcLZ3WedEXRiSepTiCEELIdUXBQxGoZQ30DjVIj6P+58jlWJmeK68pUMMwjOIYs6GYZM0KAGiuUu/dAAD1TmmQkp55iMQF/NvQtOTxbZUW2BeDHvlx4yLw5qQ0S6ElGk8sIx7KVolJCCGkINSFpwgMLAMGkCxVrbMppITJwAAqkwscluIMW+gd/iizsJKGUBd9EUTi0iYPmYKHOlnmgQ/FEYoJsBpZDI8FMS0bAklfXMthNmCLy4yL/FKw8ouzs7g1S3OrqUAUf/aTy5gKxGA3sejcV4N373Rl3IcQQkh+KPNQJPL2CWrTGLPRqnsoVs2DfCaFFqcs83CJl2YdauxG1R4PSbVlyiGNZGvri7JjOcwsPrDbJdnWvl3aQvvpC34syFtlpglGBXz02GiqLiMYFfBPz07iS8evIkJZCEIIKToKHoqElUUP+axmq9UoKtMMCuVzC888yIsm5V0iuQxZByDRTls+RJKse5AHDw9scyqGa9pvKJdM94zERbx4Wb3ZlD8cR9ePLii6XwLAMxf9+PsnxyGKKg8SQgjJGwUPRSJ/I/OIHTT7MOSWedAONPQWXsqzCmNz0rGUG3Ws2VFfJv1dJhYzD5d5aeGlfGYGAFTajLi9UTpM8ZsL86qv89XnJnFNtvhXuucuBTB0VbuTJSGEkNxR8FAk+WQa5BrL1ZfvztZ2WvJcjQDBYmAyNqJKJ1+WW74g1k212YMHed3DNX8UoigqhkDUggcAeOtW6ZTNk7K+EADgDcbwpEc9qEjX96ov63MIIYToR8FDkchrHvIJJprKlbUCTgsLcw7Vl1pZirIcii531mgHBwz0ZR7kUzmvzUcxFYhhISYdQtAKHm6tl2YeZkNxzMmCmNevLUA+IPGWzQ7InZwIgl/Qzk4QQgjJDQUPJUQt83BbllkGcloreeYy3XN7jVVz2KWp3KSrBkMt83BJVjthN7GajavqnSbFjBV57cWpSWk2Yk+THX/d1oTH/+AGWNIWKxNE4MUr6jUThBBCckfBQ9FIL7f51Og1OpUX0lvqst/lS55fb1O9IOdSN2E3sdikkRHI1FkynbLmIaYYsthUYQajkaIxsgwanNJzuJIWPMQFZRHl7rpEoymLkcUeWYvsH57iEVerqiSEEJIzCh6KRH4JzOcypXZhrtXIJGgxsgwe3FGu2K53mmYSV6k+o0Jv2+162bDFbCiOs1PSZk9aQxZJmyqkx0jPPPzi7KyikPPmuqV1Me6Rtbn2eMN44lz2Jb6fu+THR34wgg9/fwTHR+ayPp8QQtYjCh5KiNqN8Vw4rtyYhfyOHcgt8wAoiyaTXFZ9mYfGcrOiePMNWfCwJWvwIH08Oc1TFEX88BQveWxjuUkSPNy3rUyx/1OezCt0XvCF8Xe/GsdMMA7fQhzupybwyR9fRP/rPpruSQghaSh4KBL5pUXI42IjLyYEgJlg7sGDWnFkru2yt2pkHip0Zh6MLIO3bJbe/csXyNIaGknaJusn8fq1BcQFEWenw4r6h0/dVQtDWtWq2cDio3dUS57z2rUgAhHl+ymKIh57g0fnjy4iKovgRrxh9L44hZ+eyZ61IISQ9YKChyIRZeFDPsPrIZUuipMqy1lnI+8QCSRmbeRCO/OgPwi5VzbdUv6ebK/O3GxKXiwaiAgY8YYVPR/qy0xobVIWlu7b5JAUXcYE4GWVng9PjfrxyHOTGc/lBye9VDNBCCGLKHgoEnmi4blLAdW73EwWVFopj83nHjyoZR60ekhoqXeaCl4tNFNNw+0NNtRkqeeothsVQw+vXA0qlum+f1uZauGl3cTiFtmUz1dV+kX8+HT2PhCTgRh+eZ5qIAghBKDgoWjURimevZh5jF0uqJJ5uDoXUXlm7ucin/2QDcswqFApsqy06T/OBodRc8rn25uVRZ1qbm+wSX5+eTyoWB78hmrtGSm31Uv3f00WPIzNRXBaZdXOr71vs2Lbt05Mw0f9IgghpDjBg8fjQUdHB7q7u1P/5KujowPDw8PFOK3rSi2jnaltshq1YYuZYDznYj21oY5MC1lpUctg6J1tASTqDrSmdm7TqKmQk7epfm1iQVEHojXEAgA3y4IHjzcsyQgdV8km/PD3m7G9xoovv7NJsp0PxfEPv5nQdd6EELKWFbwkN8/zaG1txejoKFwuFwCgt7cX7e3tGBgYyOlY/f396O/vx6FDhwo9rZIQznFFx4WoepAQiYuSpkfZXJ5TBg+BSO6rS1pVOlvmMmwBALVlRkwHlUFUg0o3TTW3yYYd5EuDG1mgqUI7eLixxgoTy6QKIUUkhpTabihHXBAxIAse3n+TKzWtdU+TA3dvduC5S0v9JF66EsRFXxhbMgQ/J8YCOPqqF+emwwhGBdy92YEDt1Sl+lAQQshqV3Dmobu7G21tbanAAQA6OzsxODiIwcFB3cfheR49PT2Fns6KEEURMZXUQ1hl9kQmajUP+RxnKqAMHvx5BA/ypTBMbKKOIBfyTpNAYtpouc6+E+VWQ8ZVPDdWmGGU9wZPYzayuE029PGLs4mZE//vlRlFdqjtBulwymfvqVNMOf1NhuGoobEAvvjLMZwcX0gNQz13KYDP/vQyjr3m1dyPEEJWk4KDh2PHjmHv3r2K7RzH5ZR5OHz4MNxud6GnsyLionpTqFCOmQe1YYt8jsMvKAs1/Xn0i5CPltjNrGZHSC31KsGDvIFUNs0ZgodM63AkvXN7heTnVycWMDYXwbHXpIWSW1xm7KiRvpbLZlQEFE955lWHko6PzOHQE2OaM23+9aVpvK5SsEkIIatNQcEDz/PgeV6SdUjiOE535mFwcBDt7e2qx1kNonH1q0XRMg8ax9fiVSnqm88j8yD/vSw6V+VMV6tSqNmYY/CwsUL7+fLVN9XcvcUBq2zY5xdnZxVDIH96d61qcCR/jYt8BGenpUWbL18N4itPZ66HEAF8cWAMZ6eVBZqEELKaFBQ8eDyegh5PGhgYQFtbW17nsHv3btV/RkZG8jpePjSDh3huF2y12RZA7rUTviJlHuTBTB6xg2J1TUB/vUNSk8Y00zIzizsalatoypkNLG6qlQ5dnJAtlHVznQ23aixCdnOdDXWyIOhnaU2jRFHE15+f1NXbIxgV8He/Gtf8WxNCyGqw4lM1jxw5suoLJOVdCZNCGgWQWrSGLXLNYKhNJ8yn5sEflu6TT4dmtWGLqhymewKJugY1ezc6VHtRqLlFVqx4eVZaF7JHpclUEsswiqGPwZG51Pv85lQo1To76dZ6G374+8346ce2K4ZWJvxRHHs1e/3DJT6CE1cCODsdwjMX5jEqm6JKCCErpeDZFoUYHh4Gx3EFDVecOnVKdfvu3bvzPmauipV50JptkUvNQyQuYD6sfL4/x4ZVkZiA2ZB0H3maX48NdmVhpHwIIZsmjUyFfOXMTOQzHeS/yx2NmZc+f3BHOb53cgbJP0U0LuKnZ2bxe7dV4buvzEieW19mwpF3bQS7OATyPx5swl/+4grOpA11JPc1q8xoAYDvn5zBvw/NKGppfu+2KnyspTrn2hNCCCmmgjIP2S76VVVVGR/v6enB/v37CzmFkqCZeViB2RZqxZKAMouQzQU+orhwaZ1fJmrrdeR62bMYWWxwKONctZbUWm6qtUIrSWE3sdiRpfCyxmHCO2SNrZ676MfAuTm8dEXa8vqdO8pTgQMAOMwG/Plb6yXPmQ3F8egbvOJ1onERvS9O4VsqgQMAfO+kF19+cpyaVRFCVlRBmYdk1kCtvsDj8WSsY+jt7YXH40FXV1dqm9ebSOUePnwYVVVVcLvdq6KIUrtgsjizLXI5Dh9SDx7mc8w8jHqVKfKFqIhwTIBF425ZzbhKe+18gpBGpwlTgaULpokFqjQaUKmxGllsr7HizSllseJtDTbJolpa3nFDOZ44t9QX4txMGN8ampY8x2U14L03uhT7bq204I5Gu2Rtje8Mz+ABzokNi226QzEBX/zlmGoL7XRPjfpxZiqMr75vMyryaP5FCCGFKnjY4sCBA6qFkcmuk1o6OzvR2dkp2TY4OJhqEtXS0lLoqV03yz3bIpTDcIFXpSETkHvmwaMxvn6Rj2S9S093VSV4uODLfb0OeYdMQUysXMrmkL6/uc6mGjy0ZBmySN/fbmIlxY5eWabnz99ap9nN82Mt1XjlajCVUQjHRRx91YuH764DkFh8K1vgkDThj+KR567hC29r1PV8QggppqI0iRocHJQEEL29vWhra5NkHjweDyorK3HkyBHNY/E8X+jprIhiZR6KMdtiTmNWRa41D2qZByDR3jkXb0wqL4YvjQVybrktFxehKFLMRr5OBgBYjAwe4PSts2FkGezdqB1o3Fxnw76N2nUYu2pteNdOaeHlz8/MYTYUx/h8FH2vKxfo+sxbavHEH23Hl9oaFV1Gnxr140nPvGKfJEEU8fToPP7XM9fwuZ9dxh//xwV8/okrOa+5QgghcgVnHjiOw/Hjx+F2u9Hc3IyZmRnwPK/ZIEptGILneXR3d+PEiRMAgE984hPYs2fP6hm2KFLNQ1BjRkQuGQytNtRqRZSZpA8RpMsleBBFES9cDii2TwdiGPVFMnaOlJtRyai8Nr6ge40MALij0QGWka5DsrPamlPq/75tTjw1qn7xbbvBmbWQ8fdvr8LAubnUZyYqiBg8P4uhsaAiCP3i2xpw3zYnAOCuzWV45L2b8Wc/vSz5G//jMxNoKjdhuywbFIjE8TfHr+KVcWnwdnk2ghNjQWytNKNz7wbsyRDsEEKIlqLMtmhpacnaWprjOPh86ksfu1yuVduaGtDOPEQFEXFB1DWeDmhf+HPJPMxrZB6CUSGnc9GqncgleLg8G9FcHOzUtQXdwUNcEHHBp8wyvDoRxPt2uXSfT0wQFdNNQznOiNm30aEYuki6c1P2hlUbHCbcu7UMv07LGPzgpBezsuDuA7tcqcAhaUulBZ+5uxaHn1pqRhWOifjHZ67ha+/bnPrbvjYRxJefHFcsIJbugi+Cz/9yDH96dy3ee5Mr63kTQki6Fe/zsBZoZR4A/d0ho3FR87m5ZDAy9XPQuzhWJC5oPnfUG9Y95DAyox1ojOWw1PiZ6ZDqxfqUypBIJqcnFxQzGC74wprBnxqLkVXtarlrg0VzBVG5B3dIhy7kgUOF1YCP3lGtuu8DnFPRLtvjDeP4SKKQ89XxIP7yibGMgUO6rz0/iZ+fnc3+RCQySXPhOBaowRUh696K9nlYKzJdfMIxQddiUoEMNQm5ZB4ydZKcj8R1Lc0t7+8gPYaAqUAMtSrNn+TUiiWTxlRW/tQyNBZU3T4TjGM+HIdT5yJbr6kUI0biwNnpUE4rXqotAX7XFqfKM9Xd1mDDFpdZtWaDQWK4Qut3YhgGn72nDuempY2p/n14BjdtsOJvfz2u+DzajAzat5dDEIHnLwUkq5wKIvC/nrmGuCDiIZVZIol+FjyeuxiAxxfGbCgOlgFu3GDFvo0OvOOGctXFzwghaxtlHoogkiH1rTdrEMhwN5fL2haZMg96Z1yotbdOp3foQm2aZtLYrP7Mw9CYsm4i6aLKcIaW166pZypeHlcPTrQ8r1LHMZ8h4JJjGQa/d7t6D5R3NDtxm0ab7CSTgcEn9tZItk0HYviLn11RBH63N9jwLx/YgofvrsNn3lKH/3tgGz58a6XimI88N4lTsvfn1LUFfPqxi/j681N4eTyYOrYgAqcnQ/j34Rl8/D8u4D9e90EosACWELK6UPBQBJlSxHqzBpmGFHLKPGQ4jt5eD/JGU/K2DnqDh6sZsgvj81HEdSwG4Q/HVadXJl3g9Z1LJC5oHudkDsHDXCiumsF49qI/pxkk9211wmlR/u/XcWvmxmpJezc6FLNHfLLA4c5NDhx+50Y0pq0NYmAZfLy1BgdukQYQggi4n5rAXCgOURTxbyem8dmfXlatNUkXjYvoeXEK3T+/oroUPCFkbaJhiyKYzvClqXemRKbgIZeaB62CSSBxt6+npTMfkhY52k0s5tKyFqM67/bH57WfFxcTvQq0Fr1Kenk8KJkdIZ8tcUHneg8vXg5oDi+dngwhEhM0W0Wne2ksoLoA1tX5KE5P6h/+GJuLqmaCzDoLWhmGwafvqsWnHruk+ns1lpvQfV+9aoEswzD4k70bYGAZfP/k0hobE/4o/vr4GLZWWvCTN/XVQSSdnFjAZ39yGV9510Y0qPxNL89G8MwFPy7xYYzPRzEXiqOpwowbN1hxS70Nt9TZqOU2IasIBQ9FMK3RmAnQvy5FsWoeMgUhz1zw4/27lClrOflMi3KrQRI8qE2blAvFBEVGxm5iEExbv2NsNnvw8KpsqmG90yTJaJyZ0hc8/PAUr/lYNC5i6GoQd2/OPlviN6PafRV+cXZWd/DQ95pXtf3091/14i9kray1bKm04Pduq8K3h6VraxhZ4K/e0YiyLLUgf3BHNU6OB3F6cikj8/q1EF6/pszQcJVm7L+lCjdusGJiPoqnRucl3TYBYDIQw1/8/Aq+8q6lbMekP4pvDU3j+IjyfbsyF01N5d1RY8EfttSgtclOQQQhqwANWxRBpoup3gt/puGGXPo8ZBqaeO3aAuZ0jM3Lhy1csiJLr451FdTqHeSrY+qZcSHPLNwsW1r73EwoY7YFSFzAXpeN5zfKFtv6pexCqObKbATPXdKuv/iVZ17XmhPTgWhqdoTc4Pk5XNI5FAMA4ypDQ3YTq6uI0cAy+O9vb0RNhlkiLAN8Ym8Nvvb+LWi7oRwbK8zYs9GBP39rPb7yro2KpcqnFmsvLvFhfPeVRE2EWuAgd3Y6jM//cmxxpkj299C3EMPYbARz4XjBDccIIbmj4KEIpjUaKgE5FExmCB60Ok/KReOiItBIb0ooiPou2PILYKVsCW2fji93+UWtymbAZlnwcEVH0aR8RsLejQ6Y01a4EkTglSw1C+nrSQCA08zig7L+EM9f8mcNrPpe80myBTYjI6kHicZFPK6y2JXcj07z0IopBRGKTIKWp0fn8cvzyiBkLizga89N6jpGtd2Iv2lrVF00zMAA3ffXo+OWKtXhj9sa7HjkfVsU/TqmgzF88seX8J3hmZxXYn35ahD/5ccXFUWywaiAx9/g8fknruDD3x/Bh7/vwR/9xwXs/38jePe/n8OfPnYRx171ZizSJYQUDwUPBYoLomZDJSCXmgftY+i50wfUW1C7bNKsQaZzTZJ/AcuHFhZiYta5/vJpmo3lZjQqMg+Zv+jnQnHF+TZXW3BLvTT7oNbFMt2wLHi4vdGOthvKJUFIXETGts3eYAyDsgv1+25yKVbafOLcXMZC0KlAVBFg3FAtvfj+5oIfZ6e1i0SBxOfl689rBwgD5+fwa0/2bAqQ6KOhdo2vsBrQ2pi5RqbCasCRBzcqfge13id2E4v37KzAJ+/cgL94ax0+uMulyAABianCn39iDN8ZnkYgHMd3hqfxke+P4KvPTeLEWFAxGyguAmemw/jmiWl8rG8Ufz04hks5ti4nhOSGah4K5F2IqRbQJYV1djDMlHmYDwsIxQRYsxT0qfVnqLQZMJ1We6AnrS6/qDdXKesSfAsx2Eza9QrjsgxHg9OEJtmFIlsWRH4BMLEMGpwm7N3okPR+eO6SHzFBhFHl7lgQRUXw0NJoh8NswL5NDjxzYSlgeGp0XrH2RNLgyJzkgmhiGXxgdyW8wZhk7H8qEMOLVwKa9RO9L05JslEMgD97Sy0OPTGG+bTPQO+LUzjyro2qC38JoogjT08oFuUyGxjJnf7//u0kbtpgQ71Tewjj6dF5PKKRpfAuxPGlX13F4XduhElrPXMkamLcD27Epx+9iAmVjqIMgIdurMBH76iGKz2LtR3oFEQMnp/Dt1+ekWTwRADffcWLH7zq1czSaPntpQCevxzAu3YkXjN99dWZYAwvXPbD400Ubk4FYjAbGJSZDaiyG3FznRW3N9jR4DRR7QUhGVDmoUDy8Vn5100x+jwAwEyGoZEk+TBAlc2AKrv0wpGth4M/HFcEIVy1FVbZokzZjiPPXjSUm7BRlsGY9Mcy1ivIp4RurDDBwDK4Z4v0wjwfFvCqxtDFqDei+H1aFmec3L9V2tjplfEgeI3gSr4A1QOcE9V2I7bXWBV33d99eUZ1HH54LKBYF+PBHeXYscGGA7Ipmq9OLKDvNfV27t99eUZRe7F3ox2fvadWsi0QEfA/nhrX7EPy8zOz+PKT4xmD31cnFuB+Stl4Kl00LuLbw9OqgQMA2M0sHuCc0sBhkYFl8M4dFfg/H9iCuzYpsxx5rN4OIDH889Mzs/j4f1zA0Ve9+PEpH/70sUv4yA88+KdnJ/HYG7N46UoQF3wRnJ0OY/hqEIPn5/BPz07iD/sv4E9+eBE/Pu3LmBEkZD2jzEOB5BdRk+zuT+9sC/kFzsQykjvdqWAMTRWZZyZckN2pb3FZUCkftshy0ZdnHVgGqC8zocpmlAxFZBtKkQ9bNDlN2OQyw2RgUhciEYmhAnm75qShq9ILZHJsva7MhB01FpydXgouXhlfSAUF6YZlx2hwmtCweCe+b5MDFgOTasIlLA5dvEfWafHsdAjnZa2201tEf3BXJb7ym6X1Js7NhPGzM7OS40TjIh6RDTM4LSw+vmcDAOD9u1x47A1esiDZvw9N4+Y6m2QGx5OeeXz3Fa/iOA/fXYcGpwknxoKSAsXTkyH8jycn8Jf316emogqiiB+c9OLfVWorPrjLhacvzEtmyjx9wY/5yBgO3levaMF9ZiqErz53TfK3kAtEBHzu51fwR6016LilUjWbUm4xoHNfDSbmo4rPcRKDRO+KtzU7sb3aimq7EfPhOC7NRvCbUT+euTAvyd4AiVqJfz0xrXluWi7PRvD156fwrRPTaN9ejg/sqsTGCjNEUcTl2SheGQ/i8mwEY7OR1NAag8QwziaXGVtcZtxab0dTOWUwyNpEwUOB5MMAFlnwoHe2hXxWQbnVIMlqZCrKTLok67+wudIMu2yoI9uwhXwooa7MBJOBgctmkAQEvgyNsWaCMUWDqMZyM6xGFnub7Pht2l3zU6PzqsFDNC4qCh1b04KDlkaH5IL12oR65kFex9DSuNS90WZicecmB55OG7p49A0eD+6oSBUIiqKIb7w0JTlGpc2AW9PqLt7e7MT3T87gStrv/I2XprF3owO1ZSYIooh/fGYCV2al78nHW2tSK3pajSy676vH535+JVWUGReBvxocw8H7GrC7zoofnPQqlu1mGeCLb2tMBUQP312LU9dCmPAvvdYzF/344x9ewP6bExfun5+dVQRDQGJo4b/cuQFtN5Tjv/3ssqRe5+WrQfzxf1zAh3a7sKvWlkj/XwlIhn3SVdkMkmEVQQT+9cQ0nrngx4dvrURrkwM2E4tIXMCr4wt44twsfnPBnzELIgIY9YXRzpajwZnIQtlMLGrLTNjT5EDnvhr84KQX/3HKl3fGQm4hJuKxN2bx2BuzqC8zIhoXMZMlAD+RNqRWX2bCnZsceOu2MuyutakWnoqiiEBEQEwQwbIMTIu/FyGljIKHAskzD1YTK7n70VMwGYwKitUnax3GnIOHi7IpfltcZkW6OVvBpLzOIFmnUCVLOU8FtYsdn7skvaDYTWwqa3A/55QED69PLKjWK5wcDypqA/Y0LV34b6m34QevLj3/zHQI4ZgAS1qwdHY6JOlhAECxBPUDnFMSPFzwRfDEuVm8e6cLAPDzs7M4Kes18aHdlZKLgIFl8Km7a/H5J8ZS24JRAV/61VV89p46/Pg0j1/JpivurLEogqZbG+z4yG1V+F5a46a5sIAvDoxBS9e+DbgjLSBymA34729vwJ//7LLk/bvmj+Frz0+pHQIA8JHbqvCHLdVgGAbba6z4m3c04q+PX5UcIxgVFFkPObOBwWfeUou3bnXiS7+6qliX5Mx0CF/61TgMDFBmMWA+HM8YMMhd88fwt78aR12ZEXdtKsO2KjPMBhb8QgznZsJ4+WpQV+BQYzfg5jo77mhMNKeaC8dxfjqcGLrS+H9Ea1gmkwl/FI++wePRN3hU2Qy4a3MZNpWbEIwKODMdxuXZCGaCMcWsFKeZRZ3ThM0uM26us+HmOhs2u8yqWRtCVgIFDwWSDwPI7xj0ZB4uyrIOLJMY338jrZ3ydIaLNZBIRcvvbLe4zIoGVtlqFeR3pFsrExd9edFdprbF8tkP+zY6UgV3LbLq/XBcxKg3jO01Vsn2X8lqDHZusErGzHfVWiXdJmMC8NKVAO5Nq2P48SnpXXqN3Yg7ZePqd28uA1dphift9/n3oRncv82ZuluWHMNhxAdUlgHf0+TAO7eXS4onz06H8clHLymeazEw+K/31KnehX70jmqcnQ5J7l61PHRjheq5bK+x4kvtTfirgTEs6AheP3nnBnxwt7R5WEuTA0fetRH/feBqxoXS0m0sN+EvH2jAjsW/5d+1N+F7J72JGhDZc+Ni5gXYyi0sPnpHNfyROL77slcxG+SaP4ZHdUyL1TIdjOPJ0Xk8d9mP5ioLqmxGsAyw2WVG3BfGvM51YHLhXYjjZ2f0de6cjwiYnwnj/Ew4FXg6LSzuaLCjdaMDrY12WI0srsxFMDYbTa12GowKiAsirEYWVhOLarsB9U4TmsrNqLIZaAiFFA0FDwWSDwM4ZMGDnoJJ+RhvY7lJ0eQn0zoRQGJao3x6XL3TpPjS1SoIBBLp03Mz0jv17TWJ4EFeFHguw1RC+WN3bl66YFdYDWgqN0lqK96YDEmCh0hcwG9lww0PcNLiRofZgF21Nknzp5+dmU0FD95gDE/KukG+9yaXIsNhYBl03VmL7l9cSW3jQ3F87ueJn+UXkT97S50ku5Gua98GDF8NSuoW5Iws8P+9oxE3VFtVHzewDL749kZ8+dfjePGK+hRUIwv8wR01+PCtlZoXg9sb7Pin927GV387qWiQldTgNOEzb6mVDAelu3GDDb0f3IJvvjSNAZV+EkkOM4uP3FqFD+x2wWxYem8MLIOP3lGNm+ts+Odnr2VcZTXJamTw0I0u/N5tVakOmfdsceKrz02qrimSjc3IoLnaAo83otovJRwTFdmpfJkNib4f0biI5Vi1fD4s4OkLfkmmLBcuqwE7aqzYUWPBzg1W3LTBllplVxBFzIXi8C3EEYoJMLAMWAYwsgxcVgPKrQbKehAJCh4KJJ8uJ1/sSE/mYWJOnjGwYLNLerHOtkCRvBU0g8RQQ1BWQDYfERCNi6pT77wLcUVmYsfiRU5+sUs8N6ZoIDUXiivek+2ywOOmDVZJ8HB6agHvgyv18/mZsOSLngFw/zblktcP7iiXXBhPjAXx5tQCbtxgw0/PzErS1yYDg3drTMO8o9GOuzY5JKtlqtUEvHVrGfapzAhIKrMY8D8e3IjuX1xRHWYysQy676/H3o2ZeyfYTSy+1N6IJ87N4ehJr+Si29Joxyfv3IAtlZYMR0jYVmnBP757I164HMCvRuZxkQ9DEBN31203lGPfRodq9iNdpc2Iz91Xjw/tduEXZ+fw2rUFzARjcFpYbK4w4/ZGO97eXI7yDK2w72i0419/dyuOj8zhF2fn8MbkgiSoZZBY4vut25x4cHu5oq321koL/uFdG/GkZx59r/tU/zZyN22w4sEdFbifc8JuYjEfjqP/NR9+eNqXU8fW9HM0yoqY5SJxEaU8OYMPxfHilYAkKDWxDBgmEfBkelcMTOKzUO80YYvLjM2LRaHbqiyK74CkuCAiLoqLr0GBx1pDwUOB5HfyTtkXn57MQyAq/capsBqwtVI6s2I6mJjWKD9+knz2g8tmgIFlVKfH8aEYNjiUc/9HZF/KdhOLhsWah6ZyEyxGRvLFe246hH2bpNMm5YWfJgOjaDJ1U60Ng2k1AG/I7vzkd4KbXWZFlT8A3LfNiZ4XpyTZgW++NI0vvK1B0Yjp7ZwzVZyo5uG7a/HatYua/TbsJhZ/sneD5v5JmyrM+D/v34JvDyfWcwhGBRiYRDfGj++pSaX0s2EZBu/aUYEHt5djMhBDMCJgg8OYdb0KOYZhcNfmMtylY92OTJqrrfj03frOXY2BZfA72yvwO9srEIwKuOALYyEqoMJqQG2ZKWPwASR+j7c1l+MBzolzM2EMjQXwxmQodadcYTWgrsyEm2qtuKPRrvjMOS0G/NGeGuy/pRJPj87j+Mi8ZkYmqcJqwN4mO/ZtKkNLkx0OE4vnLvnR/7qvaNmKlZYpGEoXFxPfQdPBmOJ9M7KJgl/jYiASFxLZw+R3n4FJDOfaTCyqbEbUlhlR6zChtsyIurLE7Kd6p4mKRFcZCh4KJF8GWX6B0pN5kGcH7CYWGyvMMLLSee4XfRHcXK++8JK830TyYuu0sIqVKH0LcdXgQb6k8sYKUypVaWAZ3FBlwam0L82Xry4ogodRWfCwucKsuLvdVSu9CI3PRyVZjDcmFzI+P8lqZPGfbq3CN15aqkt4dWIBH/6+R/HcD2RZEKy2zIQvvK0Bf3v8qqJOoMJqwJfalmY0ZFNuNeBP31KHT95Vi9lQHE4LK0nn54JhGF3rVKwmdhOLXbX6FhCTYxhmMfWeXyDjtBjwnhtdeM+NLvgWYjg/kyha9IfjiIuJx2sdRmytNGNjhbJA8d6tTty71YlLfBjPXw7ghcsBnJ0Kpab7ypkMDDZVmMFVWXDjBit21ljAMgx+e8mPpzzzkhk6q1VMyLw2T1xMPO6PCJgKxHBGY+asYXGYhGESmR5RBGKiCBaJISGzkYXVyKLCaoDLZoDLaoDLakS13YhqhxHVdgNq7EZU2oyS7xxRFCGIyJplI7mh4KEA0biouFN1WaVvqdaXSjp5gyi7ORHFb6owS5a/HvWFcw4eWCYxZpk+lKDV60HrGEl3NNolwcNLYwF0QXo3Ll+uW55BSWyzwGpkJFmZNyZDeMuWMkTjIl6VjW3flOFC8/6bXHj0NI/JDHUGrU12NFdnT/PvaXLgGx/air7XfHh1Iggjy+DOTQ58YFdlamw4F0aWUc2YkNJQaTNi70Zj1mEkNZsXhxYP3FKFuCBiwh+FLxhHIBqHiWVgN7NwWgyoLzOpXrS211jxB3dUw+ON4NmL8xjxhnHRF8H4fFQxfGBiGWwoM6LRaUJjuQn1i8HkZCCGM1MLODMdzmnGSqmKi0Bc4/syIohANA4grqt2BlgMQGQ/mwwMLAYGZiMDh9mACosBFVYDyq0sXFYjKqwGVNoMcNmMqLQaUGU3wGJkwTIMGCSK2WkIJoG+2QqgllUos8gLJnVkHmTBQ7LoskkWPGRa+tsre6wqrTlUpc0oDR5C6seRBw/y1Rb3bnRIpupd4iOY9EdRm3ZnLB+22KYyNm9gGeysseJkWpDwy3OzeMuWMjx70a+owpevZZHObGTxR3tq4H5qQvXxBqcJf35vneb+crVlJnz67trsTyRkkYFNDM01lWd/bjqGSRRzpge2gphY3C4YFcAgUYxqNmSuGfCH4zg9uYALvggu+MK4FohhNpToFCuKIhgmUciZuFAaUW41oMLKQgSDQDiOmWAMY3PRjN8vq5E8DBGRrEsRgYiyTixXDABmMVtiMyZ6c9jNLOwmFnaTAQ4zC8fitjILizKTAWWWRFBpNTIwsAwMTPLfgHGxTXqZmV0VWRIKHgqgtmJgmWKqZvZbAvkiU/bFYzjN0mPJhzfSZcoayBfH0pquKf/ykN8176ixoszMSlKUo75wKngQRVFR2LlVo7Dvjka7JHj47aUAXr4axHeGpTnNm+tsivFrubdzTpydCuFHp3nJ9royI468ayNqVIZoCClFLMPAZsqtSVSZxYB9m8qwb1Nhr+1biOEyH8GEP4rx+Siu+WMIRuJYiIqIiSKMDAMDm7h7t5kSQwiimFgkzx8RwIfimAnEFEO5a5WIxNBKMiCZLeL03uRMFwOb+Hf6P/VlRrjfVeAfuwgoeCiA2pCEw5z7bAtFzcPiMRxm6UU/0/oX8hkO6YsBVVrlwYNG5kGW+q9xSD8eBpbBZpdZUix2mY/gzsXP8WQgpsiibFNZVAtITJv84Skf5tL+h0ufLrn0PPUZEukYhsEn76pFS5MdT5ydw1QghpYmO/bfXKlZYEoIkaq0JeoFbi3wOKGYgOlADFOBGKYC0dTCfqGYgEhchIFJdNFMXhhZlkFosUeFPxLHfFjAbCgxm8sbVE5BXw+ExaAEcUCeQ5HfKK4UCh4KEFVZcEheDa+3w2S6ZObBLgtEMi3SIw8I0qdPyWdcaGUe5G13q1TG6zdVyIKHtMW4RmULWTnMrGLoI8lpMeD3bq/G/3lBu+vhzhor7tuqnKKp5c5NZbhzU2GzCgghhbEaEwXfG7OsxaOHIIrgF+LwL2ZAglEBC1EBwuJwDMss1iGAAcuIWIiJCCwGIHPhOPzhOPhQHPxCHPxCIisSiomrukYkz9rroqPgoQDyYQsjq9JhMi5CEMWMDVYUBZOLx5A3nMo0bDEnSxW6rOk1D7LFsVTSipG4oKg1ULvwb3JJvxAup3W1/K2sLfW2SkvGsdp376zA0Ve9qsEMA+Cz96p3YSSErA8sw6DKblS9kSmEIIqILQ43xAQxNQQhLj4mCCL8EQG+hRjmQgL4cBxzoRhmQwLmw3GEYyKigohIXEA4JqayKjEh+U+yzwUgCIlgpVjxirFECjYpeCiAPHgwG1jV7oPhmAibSf0PHhdERXbCkRq2kGUeNIYtIjFBMb0wfXaAfAbItfloqpAqSa2pkdpMgU2yu4lLfBiiKIIPxXH8vLSjY/qaC2qsRhafurMWf//kuOKx39lenloPgxBCiollEjMuzBmugPrLrPURxERAMh+OYz4cR2CxYV9UEBGOCViIivCH4whGBYTiIkJRAeFYol9GOLYYpMQFRQPBlULBQwHkwYPJwMBqVAYJ4ZigWQCl1jI3NWyhM/MwF1beuVekDZ9scslaXc9HccEXwba0i7O80NFpZlFmVp7zZlnmYS4s4AIfwesTC5KxSZOBwUM3Zq9XuJ9zYmwugu+8PJNKJb692Yk/pRkPhJA1hGUYlFsMWRuirRYUPBQgIiuGNBsY1czDfESAS2O2oWrwsFgoqbdgcjYk3c4y0imjO2qsqHEYJdmFp0bnJcGDRzbFkqtSH3JodJqwwWGUrN/wm9F5Rce9ezaXabatlfu926vxnhtduDoXQV2ZqegpSkIIIcW1pr+lw+EwTp06lde+dXV1qKmpUX3szJkziMViODctIJ521y8wgOfMaQiTlxCMLt2F//ipGby9OTEJvLq6GvX19anH0rMJ/msXgVgEnjMRMAyDiXkR8fDSRZqPAK+//rrion7GJ0CIMmBNiayA0yJdxObSxYvYLozhwtjS4kZPR2zYa11KzD03NAn/1aWVHC1WJ06dmoPD4cDWrVtT2xmGwb1by/CjUzzi0TAgxPGdF4MQZQN6m5kwTp3SXr5ZftwKqwEV1kSEdeXKFczO6lt9UM5iseCGG25QfWxiYgIzMzN5HddoNGLnzp2qj01PT+PatWt5HRcAdu/erbqd53mMjWkvx53Nzp07YTQq/xf3+/24ePFi3sdtbm6G1ars8BgKhTAyMpL3cbds2YKyMmXBaywWw5kzZ/I+blNTE1wul+pj+X4/APq+I/Ih/45Id/78eYTD2df2UFNRUYGNGzeqPnbhwgUEAuoLsWUj/3/5ehyXviMSCv2O0DquHowoyr/214bdu3fjzTffhNOpv1o/3Yc+9CH827/9m+pjGzZsQDQahbl2K5w3vTW1Peb3YnbopwjFBMTShjQM7NK87be97W340Y9+lHrs1LUFfPanlwEAT//F/YiH/KmMA2tzonLfBySvPfOb7wGCdJjCvGELmt79aWy47QEAiaGFb35oa+rxnTt3Ymx8AqH0xaYYaWYjGIlLKpAtRhYmAwOO4zA8PCx5vTcmF/Bff3IZEy/9DIGryouFGI/B+9s+QND+8qyrq9O8INx///04efKk5r6ZOJ1OXL58WfWxD37wg/j1r3+d13FNJhOmptRnhnz84x/HD3/4w7yOCyS+ANR8/vOfx9e//vW8j/vss8+qfjl87Wtfwxe+8IW8j/vtb38b73//+xXbH330UXzsYx/L+7h///d/j09/+tOK7adOncI999yT93E/9alP4ctf/rLqY1pBhR56viPyIf+OSLdp0ybMz8+rPpbNbbfdhqeeekr1sZ07d+Z9cVP7jkhqaWmBx6NsF68HfUcsWa7vCK3j6lEikz5WJ4aVDiuIQuLiLF/2OZ4hPlMbtkgdL6b88mEMyoZHjElaQKM2piaftCCKiaZOwGJ1sZj5+elu3GDFvgwtfSPTlzIGDoQQQlY3Ch4KIQsekhkBxYU37UItJ18bI9FBfXG3mHIZbsaoDB5YkzSFrLZ6pFoskAwY5O0qGCZz8MAwDB6+uxaIqwcIofHz2jsTQghZ9Sh4KIAy86DdxEkr9+CXNX6SlDOIguKYjFHZeEVP5iHRUEUaESSDh5gs7WBgM/fSB4B6pwnslVcU2yPTlxGbzX9sjxBCSOlb0zUP4XAYjz76aF776ymGeuJiHD+9uHTbfnM1g87dRkQFEZ/6sbQg7W/bm1DvNCmKob5/cgbfGkoU6PivXcQtNUZ85i1L0xQ//1wU/rTRi0/fYsDOSmnM983TMbzmNaQKJv/TrVX4+J6lc08WLf3L85MYTiuKbLvBiQ/fWo3P/uSSZL2KP95Tg7s2JwrXMhUtjY6O4pfn53HKK8LIArdUs9hTqwxS1FAx1BIqmEyggskEKpjMflz6jkiggsllkHxTCvlyyObfh6bxvZNLMwru3+bEF97WAAB46NvnJH0g/vmhTapLS/e8MIX/OOVL/dx+Qzk+d9/SF8cf9o/i6txS9PCFBxpwPyctAv3oMQ+u+Ze+qP7bvXV4cIeyx8J3hqclq2LuabLjc/fV48PflxY0/dvvbi1Ka1lCCCFrEw1bFEDZYXLpjlveYEmrR8O8bNjCKVvSe4Os58E1v7SIkl+ISQIHILEmhBp5Z7KLfETRHMpiYNDgpFUoCSGEaKPgoQDRDMGDYlErjeVa58Py4EFar1Avu5CPz0uDh7PT0uZMFiOj6AKZtKVSun0qEMOpawuK59B6EoQQQjJZ002ills4ruwwmVRmNgBYutAHourFlPIFreTFjvIsgDx4ODcjHf/cXm3VvPg3lZvAMpBMy3z8TV7ynG2VpdE3nRBC1gJRTCygFYgImFtc7XM+HIc/IsAfEhCIxhGMCAhEBSzEBISiomQJ80hMlCy61VhuwiPv27LSvxYFD4XIZdjCr7EuxbxsuzzzIA8eJmTBQ3o9BABsrdSuVTAbWDSWm3AlbSVM+YqWOzeoD3kQQshaJIgiFqIC/GEBs8kLe/LiHl66uAdlF/dw6sKevqJmcjXNRO+c5Vj6e3wuv+ZjxVaU4MHj8aC7uxscx6W2ud1uXfsODw/j6NGj4HkeHo8H7e3tOHjwYDFOa9kpgoe0dS0UK2JqBQ+KYQvpfvJhi2v+KOKCmMouyDMRjeWZCx0f2OaUFE2mM7EM7tuWX0dOQghZbnFBxHw4jtlQHPxCHLPhGOZCccyFBfgjAgKRxGqVwaiAhejSipSRuChbMnv5Lu7LLVYicxwKDh54nkdraytGR0dT06F6e3vR3t6OgYGBjPsmA4dkoJE81sDAQNZ9S0GmmgfFolYR5bCFKIpZhy3kwUBcTAQMydkQV+ekBY+NWYodD9xahadG/bg8q2xAdc+WsjWz4hshZOWJoohwPLHU9MxCHL6FWOKiH4phPiyk0veBSOJin7izX7rYRwUxcScvaPfKWW/kTf1WSsHBQ3d3N9ra2iTzqDs7O9HV1YXBwUG0tbVp7nv48GH09fWlfna5XHC73ejo6EB/fz/2799f6Oktq7DKqppJejIPCzERsvhDMWxRbmHhshrApwUZr4wHsbHCjFBMgFc27NBQnjl4sBpZdN9fj//6+CXJa7usBvzxXvU564SQ9SkaF+GPxOANxjEdjGEmmLj486F4Yuw+lLj4L8SW7vSjcQHROFKpe6KNwVJHXwPDwMAyMLKAycDAxDKplZrNBgZWIwubiUVtWWlUGxR8FseOHcOhQ4cU2zmOw8DAQMbgob+/Hx0dHZIAIvn8gYGBkg8e5MMWphxrHuRDFoBy2IJhGNzRaMevPUuL4QxfDeKhG12KIQtAWSOhZkeNFV98eyO++dIU5sNx7NnowMdaalBXRlM0CVkr4oKIYFTAfCiOmYUYpoMx+IIx8KE4ZkMC5sIxyV1/KCYgHBMRXUzvy29s1iMGiQs7yzAwsIl1i4wsk7i4GxhYDEzqwm41MrCaWNiMLOxmFnYTC4eZhdNiQNniv8stLJwWI8rMrGSYezUqKHjgeR48z6t2b+M4DoODgxn3b2lpQVVVlepjXq/2cs6lIlPBpMMkH7ZQBg9Tsv4MRhawm5QfqNYmafBw8moQoigqCmeqbAZYdX4g79lShnu2KLv5EUJKhyiK8EcEXPNHMR2IYToQw0wq9b9UtZ9M+adf/NfTtZ9hAMPi3buRZWBcvKgn7tyTF/fEBd1uYmA3G1IXdqeZRbnVgAqLAU4rC6fZAJvJACOLrG3617OCgodsS61me3xoaEix7cSJEwCAvXv36joHrfaaIyMjaG5u1nWMfMlrHiyGtIJJi3zYQpll8Hil0yw3VZhVP6y31NslP88vTvm5mmOxJCFkZQiCgOlgDBPzUVzzxzEdjMIbjMG3sJj+DyeK/UIxEeFk2n8NBwDJO3oDm0jPm9Lv4E1M4iJvZlFmYlFmMaA89U/iQu+yGVFpS9zBU1+alVEagydp3G43OI5bFTMuwjHtYQuHKfuwxYgseGiuUu+xUOswKvozXPNHMS4rlqTOkIQsr2S1/1QghrG5CCbmo5hZDAJmF+sAgtGlor/oGiz2Y4BUCj85Jm81MrCbknfzbOJCbzXAZTOgympEld2ASpsBLqsRNhNLd/RrQEkFD0eOHIHH41HNSGjRWruikAU/9BBFEXxIOuyQPlOhTDHbQhk8eLzS7pBctXqPBQPLoMZuxGRg6fWu+aOKmodsxZKEkCUxQcR8OIYpfwwT/hgm/YlAwLtYEDgfiiMQFRCMxlPDAWuhDoBlEhd+E8vAbEwW4iXu9svMi3f4VhYVViOqbAZU242ocRjhshrgMBvoTp8AKDB40FqpLkmrnkHN4OAgjh49iqGhoazHLQXBxcridNX2pYBBPmwRjAqS/gyCKGJUtq6EVuYBAOqcJlnwEFMOW1DmgaxToigiEBHgC8XhC8bgXYhhKhBL1Qr4FpbqA5Kd+1brTIBkut/MLo3n282J4rzUHb81cadfbTOi2p6483dajLAaGbrrJ0VRUPDAcRxcLpfqMrwejyfjTIt0w8PD6OnpkWQcPB6PpOlUqZkJKmsYqtIWsZIPWwDAQlRA2WJ2wh8WFAWXGyu0L/51DiNeS/t5fC6Ca/LMAwUPZI1INvuJxMVU0x9+IYYJfxTXFjMEvmAcs+GlpkCrKRhggMUpeSwsRgY2EwuHaaki32U1wmU3oNpuQI3dhNoyIzbYjbCaqA8LKQ0FD1scOHBAtTDS4/Ggo6Mj6/7JwCF9uiYA9PT06O5SuRJmgtIhizIzC0vaTIcylWZL/shS8DCrMk2zIkODpjpZYPDC5YAihUoFk2Q1CMcEXJ6N4MpsIgi4xIfhW8wUTAZiWIgKiJVIIxw9jCxSY/8O01IGwGlJZACqFtP+dWUmNDhNcFlZsOzqnqZHSFGaRLW2tkoyBb29vWhra5NkHjweD1pbW3Ho0KFUMWQywNi/fz+OHDkCAJiZmYHH49E922KleBekwUO1bOlsm5FRFDmm1z3IO0vajEzGeb+1sh4M6UMYQGKaZrmFvpDI9SOIInwLcYRjAmZDcUwuTj32LsQQiYsIRuK4MhdNm1GQ+KeUAwMDsxQI2NICgQqrAVV2A2psRtQ6TWgqN6PGYYTTTMV/ZH0qOHjgOA7Hjx+H2+1Gc3MzZmZmwPO8Znvp9HqG9vZ2eDyeVOCQrqurq9BTW1byzEOVLHhgGAYOEytZ+Cp9uuasvC21NXM6MlM9BAC8e2cFfYmRZbEQFTA+H8XVuQgu8RGcnFjAlD8K70JiZkGpY5lEcG43L2UCNtiNaHCa0FhuwkaXGXVlJt09UgghRZpt0dLSgp6enozP4TgOPp9Psk2tVmK1kAcP8swDANjNsuAh7YtWPmxRkSV4uKHagmq7QbXWwmxg8N6bXHpOm6xzvoXEQkLhuAiPNwyzgcFUIIb5cBwWI4tJfxSzoRj4kIDZUGLmgXxK8kozsok268kmP5VpQwM19sT8/8S0wEQ/AJtK/REhpDAlNVVzNfEqggflxb/MbMA1LD3PH9Yetsi2IBXLMLh7cxl+8uas4rH2G8pRaaM/JVkSjgkYvhrEpD8KjzeCM1MLCMdFjJXIcr5aWCbx/0KVzYAahxH1TjOayk2ody7+U2aiYICQEkBXnDzJMwBVKhdv+eJY/gzDFtkyDwDwwd2VGDg3h3BapaTdxGL/LZW6zpmsXqIoYioQQyAiICaIGJ+PIi4mGhAlZyKMzUVxZTaCCX8UgUhpzD5gAJRZWFRYExmCGocJjU4TNpQZUW4xwGZK1BbYjCxctkRtAUvDb4SUPAoe8qTMPGQPHtKHLebCudU8AIn21V9qb8L/fGYC1/wxbKww4b/dU48mmmWxJohiYiGja/4YXrjsx+vXFnBlNopAJI65cOnWFhhZoK7MiMZyM+rLlrIEjU4zNrvMks6rhJC1gYKHPIiiqKvmQdFlMu0CoMg8ZBm2SLqj0Y5vd2yDbyGOKpuBiiRXoWSzMEEUcWU2gucvB/D8JT8u8ZGSCRIqLGxi7QALiwanGVX2xMJBdjMLx2IbYoeZRW2ZCZU2yhYQst5Q8JCHQESQDB0A+jIP6dkGRc2DjsxDEsswqq9HVo4oiogJiZbHT48mVkD1+MIYm40iHEtkE1gmsULiXFiAkcWKT1k0sQzqnEY0lZvR4DRhs8uMGzdYsbnCvOqXCyaELC+6AuVBnnUAgCqVgskNDunb++pEYilthmHA51gwSUpLMvv0y3NzuMhHcG46hCs5FCMuR+BgZBMBQXIVQquRQZU9sfJgmcUApzmxZkGD04zGchNq7EZap4AQkhcKHvIgDx6cFhZmg/JOrbXJgW+8NJ36+Zo/hgt8BFtcZkzLmjzJAw2y8kQxsSTyldkI5sMCnh6dx4g3jEt8RBH8XW8VFhYbK8xobXKgsdyEm2pt1J6cEHLd0BUrD94F6YVDawhhW6UZGxxGTKUFCsNjQVRYDIjKSuHlHSTJ9TMbiuPKbAT8QgzPXvRjaCwIPhRf0WWUbUYGzsUWx/VOE2ocRmyqMGOry4x6pwkbHEaqdyGErBgKHvKgp1gSSHSZvK3BjsHzc6ltI94QpgLS9LaBASptNGyxnEQxsaTyC1cCGJkJY3gsiOlgDNMqQ1DLiUHib11lN2J7tQVclQWbKhIdDlmWQZmZhd3E0nACIaSkUfCQB/lMicoMxY6N5dKMwpOeecV4tyAC4ZgIm4kuGHrFBBEskyg8DUYF1JWZMOINo77MhNcmgpgMxHCZj2DoahDj81EwwHXPJFTZDNheY0W5xYDbGmyoKzNhi8sMFzX0IoSscvQtlgd5P3+HOUPwIBuHViuUEwG8//+ex5/sqcGHbq6Eke46U8IxARf5CKxGFkdf9SY6JvrCmM9xSmMxAweWAQwMgwZnYpXEm2qtMBkY1JWZUGFNDDPU0rACIWQNo+AhB6Io4tWJBYzNRSTbrRkyBrkUsX3zxDT8EQEf31OT9zkWizcYg8cXxo01VtXlxXMVjAqIxASUWw3wLcRRYTVoBkmCKOIpzzwuzUbw8zOzihqT68XAJIakqu0G3LmpDM3VFuxpssNAyykTQtY5Ch5y8C8vTOHHp3nF9kyZgsYcuz/+4FXvigUPvzw3i54XpiSLeQHAjhoLGp1m/Oc7qrHZpe/38Yfj+OEpH167toCT4wuazyu3sJgLC9jTZIcIEVP+GC7NXt/1FxgAWyvNcFoMuHuzA/dtc6LMxMKWIaNECCHrGQUPOs0EY6qBAwB4vGHN/cotud+lvnw1iFvqbTkNXwQicfS/7sP4fBTv2lEBhznRITBbM6loXMT/e2UGL14J4PyM+u9xdjqMs9NhPDk6j9sabLhnSxk+sEt9PY3H3+Dxo9M+XNEZACQ7Kp4YC+p6fiEshkTfg3duL8dCVMCdmxzYUWOFgWWoQJEQQnJAwYNOv73o13zshcsBzcfyGffu/sUV7Kyx4J8e2pzxojZ4fg7ffGlKkdb/1Uiiw6HFwOALb2vAXZvLNI/x8zOz+N5Jr+5zOzmeyCT8amQe921z4sHt5bCZWAyen8PXnp9EqASWb95YbgJXZcFtDXa84wYnghEBlTZqiEQIIcXCiKK48t/2y2D37t0AgFOnThXleP/fwBiezxAkNDpN6LpzA+5Ou1A/PTqPR9/g8dqEdto+k79pa5QcD0jUAzz+Bo+hsWDG80l3z5YyvPfGCrQ0OVLbxmYjOPqaF784O5dhz+xq7EZEBQGzoZXttfzgjnLc3mDHA5yT1lkghJBlRpkHnUZ92kMTAHB1Pop/eHoCP/hIM0wGBuPzUfzdr8cLes2Bc3OK4OGJs3P42vNTOR3n2Yt+vHDZj+90bEONw4SYIOLzvxzD+HzhtQXXu08CkGi+dUO1FfdsKcPGChM2VZhpZgMhhFxHFDzopCcdPx8RcMEXxvYaK35wcqbg13zmoh8jM2E0V1sAAAtRAc9f1h4+ySQmAA8/dgkf31ODDQ5TUQKH5bCt0owDt1TBYkzUIURiIjZWmAAwcNkMtCAYIYSUAPom1ika1ze6k7wBHsthkaRMPvXoRXTfXw9vMIZvDc0o2lrnwrsQxz/85lpRzqvY7ttahr98oIF6XBBCyCpAwYNOeoOH1yYWUF9mQgHXeAkRwDdfmsZsOF5Q4FCKWAb483vrcedmB60qSgghqwgFDzqIoqj7wv0vL0zh+ydnijoGf73rClxWAz64y4XG8kTL56Ov+oraobGp3ISufRuw2WXOuQ8GIYSQlUfBgw56sw5J/ArPPChErcOISFzEt4b112y8nXNie40Vl2cjGDg/p/p+1ZeZ8PE9NbAaE4uF2UzUpZEQQlYrCh50WGvDBZlMBvRnOZqrLNh/SyUe2OZM9VD49F21MBkY+BZiuDoXxY4aK1gmMURBMyIIIWRtoOBBh0iOmYf1YP/NlfjE3hpFQGAyJH6utBlRSatHEkLImkTf7jpQ8LDkj1pr8OFbK6kREyGErGMUPOiQa83DSmssN8LIsLg0G8n+ZJ1+Z3s53rOzAjfV2op2TEIIIasTBQ86rIbMA8sA929zoqnchO+d9GacKvoHi6tjzoXjeO6SHy9dUS5K5TSzsJhYfOAmF97W7MQGh/6lxQkhhKxtFDzoUOqZh00VJthNBoz6wvi1Zz7jc/+uvRH7Ni21vH7oRhfigggDmyhyDEYFNNH0SUIIIRlQ8KBDJF7aUy8vz0YBZO5oeUO1BX/1jkbUlSkzCMmZEokix+U4Q0IIIWsJBQ86LEfmYYvLjL+8vx6bXRa8eCUAURTxpGcez18OFH2YpKXRji+/s4mKHAkhhBQFBQ86LEfNw5/eXYvmaiuAxJLZF3xhvDIeLPprvXVrGf7bvXUUOBBCCCkaCh50KPYF/ZZ6G26pXxofiMZF/P2vxzEXLt7wSJXNgG/t30adHAkhhBQdBQ86FLPDZOe+GrxnpwsMw0AURcxHBPzVwBgu8pmnVe7b6MBn761Dtd0IbzCGR56fxDMX1JfnvnuzA793WzUFDoQQQpYFBQ86FDPz0PviNL77shdclQVjcxH4FuJZ9zEZGHzktipU2xN/riq7EV98WwNOXAkiHBcgisCLVwLYXWvDgzvKqQ00IYSQZUXBgw7FLpgMRgW8fm1B13N///YqvL25HJsqpNMnWYbBvk2O1M/3bXMW9RwJIYQQLRQ86LBSTaKaqyz4gzuqKZNACCGkpFDwoMNKNIn6eGsN3nNjBQUOhBBCSg4FDzpEr2OTKCMLPPK+LeCqLNftNQkhhJBcUPCgw/UYtril3oYP7a7ErlorLWVNCCGkpBXlKuXxeNDd3Q2O41Lb3G73su97veQ7bPHxPdXgKi04MRbEmakQWAaYDcdRZjbg/btc2FFjxUwwhnBMwB2NdpgNNLWSEEJI6Ss4eOB5Hq2trRgdHYXL5QIA9Pb2or29HQMDA8u27/WUT+bhD1uq8Z9urQYAyUJUcvJZFIQQQkipK/hWt7u7G21tbamLPwB0dnZicHAQg4ODy7bv9RSM5lbzcOcmB957k2t5ToYQQghZYQUHD8eOHcPevXsV2zmOy5o9KGTf62nKn3nFyqQNDiN++rHt+Nv2JjgthmU+K0IIIWRlFDRswfM8eJ6XZA6SOI7LmD0oZN/r7eJs5tbRQKJ99B+0VMNkoKmVhBBC1raCggePx5P344Xsm2737t2q2998802YTCbNx/VaiAmY9Mc0H69xGOEwsfgRgB8V9EqEEELI9dPc3IzHHnssr33X7JxAhmFgMpkKPo7NyGKLy4yRkREAiTebLKH3RYneE3X0vijRe6JE74m6UntfVn3wcOrUqevyOskMxvV6vdWC3hclek/U0fuiRO+JEr0n6krtfSmoYFKtXiFdVVXVsuxLCCGEkJVTUPDAcRxcLlcqnZLO4/Ggra1tWfYlhBBCyMopeKrmgQMHVIsbPR4POjo6lm1fQgghhKyMojSJGhwclAQBvb29aGtrk2QPPB4PKisrceTIkZz3JYQQQkjpKLhgkuM4HD9+HG63G83NzZiZmQHP85pNntJrHXLdlxBCCCErjxFFcfmXjCSEEELImkHLOBJCCCEkJxQ8EEIIISQnFDwQQgghJCcUPBBCCCEkJxQ8EEIIISQnFDwQQgghJCcUPBBCCCEkJ6t+Vc1i8Hg86O7uBsdxqW1ut3vZ9y1lhfxeDMOgpaUFe/bsAQCcOHECHMehr69vWc71ehscHMTAwEBOf+e1+jlJyuc9Wcufk+HhYRw9ehQ8z8Pj8aC9vR0HDx7Ute9a/qwU8r6s1c/L8PAwenp64HK5wPM8gMTfO9vikcAKf1bEdc7n84kul0v0+XypbT09PWJbW9uy7lvKCv29XC6X6HK5RABiS0uL2NPTs0xnev2MjIyInZ2d4sGDB0WO43L6G6/Vz0kh74kors3PiSiK4tDQkHjw4MHUzz6fT/f7s1Y/K6JY2Psiimvz8zI0NCR2dnZKtrW0tIgtLS1Z913pz8q6Dx46OzvF/fv3K7YDEAcGBpZt31JW6O+V/gWxFrW1teX0P+ha/Zyky/U9EcW1+zlR+1v39fWJAMS+vr6M+67lz0oh74sors3PS2dnpyIAOHjwoAhAHBoayrrvSn5W1n3Nw7Fjx7B3717Fdo7jsq6xUci+pWyt/l4rhd7P9aW/v1+xKnByob/1+p0CFPa+rFXt7e2SIQcAqK6u1rXvSn9W1nXNA8/z4HledWyJ4zgMDg4uy76lrFi/F8/zqee2tbXpGr9bi9bq56RY1uLnpKWlBVVVVaqPeb1ezf3W+mcl3/cl3Vr7vOzfvx/79++XbBsYGADHcWhpadHcrxQ+K+s6eEhfCjzXxwvZt5QV4/fq7+9Hc3MzDhw4AK/Xi3e84x3o6upCZ2dnsU5z1Virn5NiWKufk6GhIcW2EydOAIDqnWLSWv+s5Pu+JK3Vz0sSz/M4fPgwvF5v1sxBKXxW1nXwQJZHMnIGEkuwf+Mb30Brayv27NmTMZom68t6+py43W5wHKd7ZsF6kcv7spY/L8nZSsPDw9izZ49mhqaUrPuaB1J88jG85P/YR48eXYnTISVqvXxOjhw5Ao/Ho3rnvZ7l+r6s5c9LW1sb3G53KuOwbdu2ks80revgIdt4Wabor5B9S1mhv1dHRweOHDmi+lip/8+wHNbq56RQ6+VzMjg4iKNHj2JoaCjrZ2E9fVZyeV+A9fN5AYDu7m7wPI/u7m7N55TCZ2VdBw8cx8HlcmFkZETxmMfjSVUCF3vfUlbo79Xf36+6b/LY681a/ZwUaj18TpLNf9IvkJkudOvls5Lr+wKs3c9Lc3Mzurq6JNuSF/7h4WHN/Urhs7KugwcAOHDggOoH1+PxKKYVFXPfUlbI79XZ2Ymenh7Jtv7+fgDAhz/84eKd5CqyVj8nhVjrn5PkBVLe/VD+O8ut9c9Kvu/LWvy8JLtsyrMIyb9/tgBgxT8ry95JosSNjIyILpdLHBkZSW1T69KVfJ7b7c5539WmkPdkaGhI8rMoJjqmraUGL5k6wK2nz0m6XN+Ttfw5GRkZETmOEw8ePCi63W7R7XaLBw8eFPfv36/6uVgvn5VC3pe1+nk5ePCgohmUWuOoUvysrPvZFhzH4fjx43C73WhubsbMzAx4ntecKpMeJea672pRyHuSLGJKjtd5PB4cOnRIMZd5tUkfg0ymE5PpRrU+9Ovhc1LIe7JWPydAovGPx+NRHaOXp6iB9fFZAQp7X9bq58XtdqO3txdHjx5FdXV1ahhidHRUta6hlD4rjCiK4nV5JUIIIYSsCeu+5oEQQgghuaHggRBCCCE5oeCBEEIIITmh4IEQQgghOaHggRBCCCE5oeCBEEIIITmh4IEQQgghOaHggRBCCCE5oeCBEEIIITmh4IEQQgghOaHggRBCCCE5oeCBEEIIITmh4IEQQgghOaHggRBCCCE5oeCBEEIIITmh4IEQQgghOaHggRBCCCE5+f8BseGXSkomPTcAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC')\n", "tb_site = '(0, 0)'\n", "vis = Visualization(tb_sites, description='2P', particles=['electron'], loc_deph_rate=4, tb_model_name='ELM')\n", "\n", "eq_state = get_deph_eq_state(vis)\n", "\n", "pop_particle_dict = {}\n", "for tb_site in vis.tb_basis:\n", " pop_particle_op = get_pop_observable(vis.tb_basis, vis.description, vis.particles[0], tb_site)\n", " pop_particle = np.trace(eq_state @ pop_particle_op)\n", " pop_particle_dict[tb_site] = pop_particle\n", " print(f\"Equilibium Population {vis.particles[0].capitalize()} at site {tb_site}: {round(pop_particle, 3)}\")\n", "\n", "fig, ax = plt.subplots()\n", "for tb_site in vis.tb_basis:\n", " fig, ax = vis.plot_pop(tb_site, ax=ax, fig=fig, add_legend=False)\n", " ax.axhline(y=pop_particle_dict[tb_site], color='k', linestyle='--', alpha=0.5)\n", "\n", "ax.legend(vis.tb_basis)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "91114110-a262-41bf-aa8c-41f3897813a3", "metadata": {}, "source": [ "## Global Dephasing" ] }, { "cell_type": "code", "execution_count": 7, "id": "ec858a43-dd96-4896-b7c7-39abbb0eb1eb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 4\n", "--------------------------------\n", "Equilibium Population Electron: 0.5\n", "Equilibium Population Hole: 0.5\n", "Equilibium Population Exciton: 0.25\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC', tb_model_name='WM')\n", "tb_site = '(0, 0)'\n", "vis = Visualization(tb_sites, description='2P', glob_deph_rate=2, tb_model_name='WM')\n", "\n", "fig, ax = my_plot_pop(vis, tb_site)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 8, "id": "15c4b957-0a1e-416c-996a-440b5a5e7e96", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 16\n", "--------------------------------\n", "Equilibium Coherence Electron: 0.527\n", "Equilibium Coherence Hole: 0.23\n", "Equilibium Coherence Exciton: 0.017\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC')\n", "vis = Visualization(tb_sites, description='2P', glob_deph_rate=2, tb_model_name='ELM')\n", "\n", "fig, ax = my_plot_coh(vis)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "99f9f2b5-5ab3-4475-9d98-478e39313194", "metadata": {}, "source": [ "## Local Thermalizing" ] }, { "cell_type": "code", "execution_count": 9, "id": "6fb4ed24-11d3-4717-b88e-90774929bcac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 52\n", "--------------------------------\n", "Equilibium Population Electron: 0.5\n", "Equilibium Population Hole: 0.5\n", "Equilibium Population Exciton: 0.25\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC', tb_model_name='WM')\n", "tb_site = '(0, 0)'\n", "vis = Visualization(tb_sites, description='2P', loc_therm=True, tb_model_name='WM')\n", "\n", "fig, ax = my_plot_pop(vis, tb_site)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 10, "id": "55efe475-895d-4747-98bb-10abf9b7a827", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 3728\n", "--------------------------------\n", "Equilibium Coherence Electron: 0.963\n", "Equilibium Coherence Hole: 0.384\n", "Equilibium Coherence Exciton: 0.027\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC')\n", "vis = Visualization(tb_sites, description='2P', loc_therm=True, tb_model_name='ELM')\n", "\n", "fig, ax = my_plot_coh(vis)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "28e484d0-6573-4e8f-a6c9-9318af61dfc2", "metadata": {}, "source": [ "## Global Thermalizing" ] }, { "cell_type": "code", "execution_count": 11, "id": "7aee0bed-2580-4145-9b7b-7556d97e5ac1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 12\n", "--------------------------------\n", "Equilibium Population Electron: 0.5\n", "Equilibium Population Hole: 0.5\n", "Equilibium Population Exciton: 0.25\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC', tb_model_name='WM')\n", "tb_site = '(0, 0)'\n", "vis = Visualization(tb_sites, description='2P', glob_therm=True, tb_model_name='WM')\n", "\n", "fig, ax = my_plot_pop(vis, tb_site)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": 12, "id": "69e80f33-95b4-442c-a7d3-f054c30ad11d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of local dephasing operators: 240\n", "--------------------------------\n", "Equilibium Coherence Electron: 0.963\n", "Equilibium Coherence Hole: 0.384\n", "Equilibium Coherence Exciton: 0.027\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC')\n", "vis = Visualization(tb_sites, description='2P', glob_therm=True, tb_model_name='ELM')\n", "\n", "fig, ax = my_plot_coh(vis)\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "0679734b-238a-4354-a98d-2dce353fe7ce", "metadata": {}, "source": [ "## Trace Distance to the Equilibium" ] }, { "cell_type": "code", "execution_count": 13, "id": "5eee587e-3f77-4943-a610-41f8bc77e7aa", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tb_sites = get_tb_sites('GC', tb_model_name='WM')\n", "\n", "kwargs_loc_deph = dict(tb_model_name='WM', loc_deph_rate=3, relaxation=False, t_end=5)\n", "kwargs_glob_deph = dict(tb_model_name='WM', glob_deph_rate=3, relaxation=False, t_end=5)\n", "kwargs_loc_therm = dict(tb_model_name='WM', loc_therm=True, relaxation=False, t_end=5)\n", "kwargs_glob_therm = dict(tb_model_name='WM', glob_therm=True, relaxation=False, t_end=5)\n", "\n", "kwargs_list = [kwargs_loc_deph, kwargs_glob_deph, kwargs_loc_therm, kwargs_glob_therm]\n", "\n", "trace_distance_list = []\n", "for kwargs in kwargs_list:\n", " vis = Visualization(tb_sites, **kwargs)\n", "\n", " if vis.loc_deph_rate or vis.glob_deph_rate:\n", " eq_state = get_deph_eq_state(vis)\n", " if vis.loc_therm or vis.glob_therm:\n", " eq_state = get_therm_eq_state(vis)\n", " \n", " dms = vis.get_result()\n", " trace_distance = [ calc_trace_distance(dm.full(), eq_state) for dm in dms ]\n", " trace_distance_list.append(trace_distance)\n", "\n", "fig, ax = plt.subplots()\n", "for trace_distance in trace_distance_list:\n", " ax.plot(vis.times, trace_distance)\n", " \n", "ax.legend(['Loc. Deph.', 'Glob. Deph.', 'Loc. Therm.', 'Glob. Therm.'])\n", "ax.set_ylabel('Trace distance')\n", "ax.set_xlabel('Time')\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": null, "id": "00a1c626-c85f-46a5-8f6c-e4711afe5bfd", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }